753972813 has 32 divisors (see below), whose sum is σ = 1221396480. Its totient is φ = 455883120.

The previous prime is 753972811. The next prime is 753972829. The reversal of 753972813 is 318279357.

It is a happy number.

It is not a de Polignac number, because 753972813 - 2¹ = 753972811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (753972811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134770 + ... + 140252.

It is an arithmetic number, because the mean of its divisors is an integer number (38168640).

Almost surely, 2^753972813 is an apocalyptic number.

It is an amenable number.

753972813 is a deficient number, since it is larger than the sum of its proper divisors (467423667).

753972813 is a wasteful number, since it uses less digits than its factorization.

753972813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5960 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 753972813 is about 27458.5653849578. The cubic root of 753972813 is about 910.1617121942.

It can be divided in two parts, 75397 and 2813, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 753972813 in words is "seven hundred fifty-three million, nine hundred seventy-two thousand, eight hundred thirteen".