7520269620721 has 81 divisors (see below), whose sum is σ = 9082022910219. Its totient is φ = 6219561348000.

The previous prime is 7520269620709. The next prime is 7520269620733. The reversal of 7520269620721 is 1270269620257.

It is a happy number.

The square root of 7520269620721 is 2742311.

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

It is an interprime number because it is at equal distance from previous prime (7520269620709) and next prime (7520269620733).

It can be written as a sum of positive squares in only one way, i.e., 1112465920225 + 6407803700496 = 1054735^2 + 2531364^2 .

It is not a de Polignac number, because 7520269620721 - 2⁷ = 7520269620593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7520269620751) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49803109996 + ... + 49803110146.

Almost surely, 2^{7520269620721} is an apocalyptic number.

7520269620721 is the 2742311-st square number.

7520269620721 is the 1371156-th centered octagonal number.

It is an amenable number.

7520269620721 is a deficient number, since it is larger than the sum of its proper divisors (1561753289498).

7520269620721 is a wasteful number, since it uses less digits than its factorization.

7520269620721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 7520269620721 by its sum of digits (49), we get a square (368493211415329 = 19196177²).

The spelling of 7520269620721 in words is "seven trillion, five hundred twenty billion, two hundred sixty-nine million, six hundred twenty thousand, seven hundred twenty-one".