7290210601521 has 81 divisors (see below), whose sum is σ = 11141000566059. Its totient is φ = 4593349547424.

The previous prime is 7290210601519. The next prime is 7290210601537. The reversal of 7290210601521 is 1251060120927.

The square root of 7290210601521 is 2700039.

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

7290210601521 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 21 + 0 + 601 + 5 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5081241813921 + 2208968787600 = 2254161^2 + 1486260^2 .

It is not a de Polignac number, because 7290210601521 - 2¹ = 7290210601519 is a prime.

It is a super-2 number, since 2×7290210601521² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7290210681521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20306993140 + ... + 20306993498.

Almost surely, 2^{7290210601521} is an apocalyptic number.

7290210601521 is the 2700039-th square number.

7290210601521 is the 1350020-th centered octagonal number.

It is an amenable number.

7290210601521 is a deficient number, since it is larger than the sum of its proper divisors (3850789964538).

7290210601521 is an equidigital number, since it uses as much as digits as its factorization.

7290210601521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 7290210601521 by its sum of digits (36), we get a square (262447581654756 = 16200234²).

The spelling of 7290210601521 in words is "seven trillion, two hundred ninety billion, two hundred ten million, six hundred one thousand, five hundred twenty-one".