757535233225 has 27 divisors (see below), whose sum is σ = 948634594047. Its totient is φ = 600092297280.

The previous prime is 757535233181. The next prime is 757535233249. The reversal of 757535233225 is 522332535757.

The square root of 757535233225 is 870365.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 567365978169 + 190169255056 = 753237^2 + 436084^2 .

It is not a de Polignac number, because 757535233225 - 2¹³ = 757535225033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 26 ways as a sum of consecutive naturals, for example, 474348127 + ... + 474349723.

Almost surely, 2^757535233225 is an apocalyptic number.

757535233225 is the 870365-th square number.

757535233225 is the 435183-rd centered octagonal number.

It is an amenable number.

757535233225 is a deficient number, since it is larger than the sum of its proper divisors (191099360822).

757535233225 is an frugal number, since it uses more digits than its factorization.

757535233225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 1711 counting only the distinct ones).

The product of its digits is 6615000, while the sum is 49.

Multiplying 757535233225 by its sum of digits (49), we get a square (37119226428025 = 6092555²).

The spelling of 757535233225 in words is "seven hundred fifty-seven billion, five hundred thirty-five million, two hundred thirty-three thousand, two hundred twenty-five".