9751957504 has 39 divisors (see below), whose sum is σ = 19514181063. Its totient is φ = 4872818688.

The previous prime is 9751957451. The next prime is 9751957549. The reversal of 9751957504 is 4057591579.

The square root of 9751957504 is 98752.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6319357 + ... + 6320899.

It is an arithmetic number, because the mean of its divisors is an integer number (500363617).

Almost surely, 2^9751957504 is an apocalyptic number.

9751957504 is the 98752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9751957504

9751957504 is an abundant number, since it is smaller than the sum of its proper divisors (9762223559).

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

9751957504 is an frugal number, since it uses more digits than its factorization.

9751957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 52.

The cubic root of 9751957504 is about 2136.4723013070.

The spelling of 9751957504 in words is "nine billion, seven hundred fifty-one million, nine hundred fifty-seven thousand, five hundred four".