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125537701969 = 3543132
BaseRepresentation
bin111010011101010100…
…0010101000001010001
3110000000221100000111101
41310322220111001101
54024100122430334
6133400552344401
712032640601051
oct1647250250121
9400027300441
10125537701969
114927083a619
12203b63a5101
13bab856b8b4
14610c9b5561
1533eb221214
hex1d3aa15051

125537701969 has 3 divisors (see below), whose sum is σ = 125538056283. Its totient is φ = 125537347656.

The previous prime is 125537701921. The next prime is 125537701973. The reversal of 125537701969 is 969107735521.

The square root of 125537701969 is 354313.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 969107735521 = 4190323127407.

It can be written as a sum of positive squares in only one way, i.e., 44831710225 + 80705991744 = 211735^2 + 284088^2 .

It is not a de Polignac number, because 125537701969 - 217 = 125537570897 is a prime.

It is a super-2 number, since 2×1255377019692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125537701909) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 177157 + ... + 531469.

It is an arithmetic number, because the mean of its divisors is an integer number (41846018761).

Almost surely, 2125537701969 is an apocalyptic number.

125537701969 is the 354313-rd square number.

125537701969 is the 177157-th centered octagonal number.

It is an amenable number.

125537701969 is a deficient number, since it is larger than the sum of its proper divisors (354314).

125537701969 is an frugal number, since it uses more digits than its factorization.

125537701969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708626 (or 354313 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 55.

The spelling of 125537701969 in words is "one hundred twenty-five billion, five hundred thirty-seven million, seven hundred one thousand, nine hundred sixty-nine".

Divisors: 1 354313 125537701969