752252949 has 36 divisors (see below), whose sum is σ = 1276579980. Its totient is φ = 425577600.

The previous prime is 752252933. The next prime is 752252951. The reversal of 752252949 is 949252257.

752252949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 370832049 + 381420900 = 19257^2 + 19530^2 .

It is not a de Polignac number, because 752252949 - 2⁴ = 752252933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752252909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36097 + ... + 52985.

It is an arithmetic number, because the mean of its divisors is an integer number (35460555).

Almost surely, 2^752252949 is an apocalyptic number.

It is an amenable number.

752252949 is a deficient number, since it is larger than the sum of its proper divisors (524327031).

752252949 is a wasteful number, since it uses less digits than its factorization.

752252949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17010 (or 17000 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 752252949 is about 27427.2300642992. The cubic root of 752252949 is about 909.4691381059.

The spelling of 752252949 in words is "seven hundred fifty-two million, two hundred fifty-two thousand, nine hundred forty-nine".