752887671481 has 45 divisors (see below), whose sum is σ = 848399144095. Its totient is φ = 668122070000.

The previous prime is 752887671457. The next prime is 752887671491. The reversal of 752887671481 is 184176788257.

The square root of 752887671481 is 867691.

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

It can be written as a sum of positive squares in only one way, i.e., 723365559081 + 29522112400 = 850509^2 + 171820^2 .

It is not a de Polignac number, because 752887671481 - 2¹¹ = 752887669433 is a prime.

It is a super-2 number, since 2×752887671481² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (752887671401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7454333331 + ... + 7454333431.

Almost surely, 2^752887671481 is an apocalyptic number.

752887671481 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

752887671481 is the 867691-st square number.

752887671481 is the 433846-th centered octagonal number.

It is an amenable number.

752887671481 is a deficient number, since it is larger than the sum of its proper divisors (95511472614).

752887671481 is an frugal number, since it uses more digits than its factorization.

752887671481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 183 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 64.

Multiplying 752887671481 by its sum of digits (64), we get a square (48184810974784 = 6941528²).

The spelling of 752887671481 in words is "seven hundred fifty-two billion, eight hundred eighty-seven million, six hundred seventy-one thousand, four hundred eighty-one".