752640953 has 2 divisors, whose sum is σ = 752640954. Its totient is φ = 752640952.

The previous prime is 752640947. The next prime is 752640961. The reversal of 752640953 is 359046257.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 390576169 + 362064784 = 19763^2 + 19028^2 .

It is a cyclic number.

It is not a de Polignac number, because 752640953 - 2²⁰ = 751592377 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_38832395 and since 752640953 and 38832395 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 752640953.

It is not a weakly prime, because it can be changed into another prime (752640913) 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 as a sum of consecutive naturals, namely, 376320476 + 376320477.

It is an arithmetic number, because the mean of its divisors is an integer number (376320477).

Almost surely, 2^752640953 is an apocalyptic number.

It is an amenable number.

752640953 is a deficient number, since it is larger than the sum of its proper divisors (1).

752640953 is an equidigital number, since it uses as much as digits as its factorization.

752640953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 752640953 is about 27434.3024879438. The cubic root of 752640953 is about 909.6254760377.

The spelling of 752640953 in words is "seven hundred fifty-two million, six hundred forty thousand, nine hundred fifty-three".