7253758561 has 21 divisors (see below), whose sum is σ = 8821593201. Its totient is φ = 5947180932.

The previous prime is 7253758529. The next prime is 7253758601. The reversal of 7253758561 is 1658573527.

The square root of 7253758561 is 85169.

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

It is not a de Polignac number, because 7253758561 - 2⁵ = 7253758529 is a prime.

It is a super-3 number, since 3×7253758561³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (1764000) is a multiple of the sum of its prime divisors (30).

It is not an unprimeable number, because it can be changed into a prime (7253758511) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 315380796 + ... + 315380818.

Almost surely, 2^7253758561 is an apocalyptic number.

7253758561 is the 85169-th square number.

7253758561 is the 42585-th centered octagonal number.

It is an amenable number.

7253758561 is a deficient number, since it is larger than the sum of its proper divisors (1567834640).

7253758561 is an frugal number, since it uses more digits than its factorization.

7253758561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 30 counting only the distinct ones).

The product of its digits is 1764000, while the sum is 49.

The cubic root of 7253758561 is about 1935.7727206022.

Multiplying 7253758561 by its sum of digits (49), we get a square (355434169489 = 596183²).

7253758561 divided by its sum of digits (49) gives a 6-th power (148035889 = 23⁶).

The spelling of 7253758561 in words is "seven billion, two hundred fifty-three million, seven hundred fifty-eight thousand, five hundred sixty-one".