3461313125 has 90 divisors (see below), whose sum is σ = 4936536990. Its totient is φ = 2422728000.

The previous prime is 3461313113. The next prime is 3461313133. The reversal of 3461313125 is 5213131643.

It can be written as a sum of positive squares in 5 ways, for example, as 1315585441 + 2145727684 = 36271^2 + 46322^2 .

It is not a de Polignac number, because 3461313125 - 2⁴ = 3461313109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 119355611 + ... + 119355639.

It is an arithmetic number, because the mean of its divisors is an integer number (54850411).

Almost surely, 2^3461313125 is an apocalyptic number.

It is an amenable number.

3461313125 is a deficient number, since it is larger than the sum of its proper divisors (1475223865).

3461313125 is an equidigital number, since it uses as much as digits as its factorization.

3461313125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 76 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 3461313125 is about 58832.9255179445. The cubic root of 3461313125 is about 1512.6796453514.

Multiplying 3461313125 by its sum of digits (29), we get a square (100378080625 = 316825²).

3461313125 divided by its sum of digits (29) gives a square (119355625 = 10925²).

Adding to 3461313125 its reverse (5213131643), we get a palindrome (8674444768).

The spelling of 3461313125 in words is "three billion, four hundred sixty-one million, three hundred thirteen thousand, one hundred twenty-five".