253963586704 has 45 divisors (see below), whose sum is σ = 522771979161. Its totient is φ = 119496149760.

The previous prime is 253963586683. The next prime is 253963586729. The reversal of 253963586704 is 407685369352.

The square root of 253963586704 is 503948.

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., 197722515600 + 56241071104 = 444660^2 + 237152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34264759 + ... + 34272169.

Almost surely, 2^253963586704 is an apocalyptic number.

253963586704 is the 503948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253963586704

253963586704 is an abundant number, since it is smaller than the sum of its proper divisors (268808392457).

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

253963586704 is an frugal number, since it uses more digits than its factorization.

253963586704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14864 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 58.

The spelling of 253963586704 in words is "two hundred fifty-three billion, nine hundred sixty-three million, five hundred eighty-six thousand, seven hundred four".