31134602500 has 45 divisors (see below), whose sum is σ = 68104447257. Its totient is φ = 12450312000.

The previous prime is 31134602483. The next prime is 31134602501. The reversal of 31134602500 is 520643113.

The square root of 31134602500 is 176450.

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

It can be written as a sum of positive squares in 7 ways, for example, as 31112020996 + 22581504 = 176386^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31134602501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8820736 + ... + 8824264.

Almost surely, 2^31134602500 is an apocalyptic number.

31134602500 is the 176450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31134602500

31134602500 is an abundant number, since it is smaller than the sum of its proper divisors (36969844757).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31134602500 is an frugal number, since it uses more digits than its factorization.

31134602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Multiplying 31134602500 by its sum of digits (25), we get a square (778365062500 = 882250²).

31134602500 divided by its sum of digits (25) gives a square (1245384100 = 35290²).

The spelling of 31134602500 in words is "thirty-one billion, one hundred thirty-four million, six hundred two thousand, five hundred".