752800253 has 2 divisors, whose sum is σ = 752800254. Its totient is φ = 752800252.

The previous prime is 752800211. The next prime is 752800259. The reversal of 752800253 is 352008257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 510624409 + 242175844 = 22597^2 + 15562^2 .

It is a cyclic number.

It is not a de Polignac number, because 752800253 - 2²⁴ = 736023037 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (752800259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376400126 + 376400127.

It is an arithmetic number, because the mean of its divisors is an integer number (376400127).

Almost surely, 2^752800253 is an apocalyptic number.

It is an amenable number.

752800253 is a deficient number, since it is larger than the sum of its proper divisors (1).

752800253 is an equidigital number, since it uses as much as digits as its factorization.

752800253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 752800253 is about 27437.2056339562. The cubic root of 752800253 is about 909.6896470149.

The spelling of 752800253 in words is "seven hundred fifty-two million, eight hundred thousand, two hundred fifty-three".