1013225211521 has 2 divisors, whose sum is σ = 1013225211522. Its totient is φ = 1013225211520.

The previous prime is 1013225211499. The next prime is 1013225211539. The reversal of 1013225211521 is 1251125223101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755745080896 + 257480130625 = 869336^2 + 507425^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013225211521 - 2³⁴ = 996045342337 is a prime.

It is a super-2 number, since 2×1013225211521² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1013225211721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506612605760 + 506612605761.

It is an arithmetic number, because the mean of its divisors is an integer number (506612605761).

Almost surely, 2^{1013225211521} is an apocalyptic number.

It is an amenable number.

1013225211521 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013225211521 is an equidigital number, since it uses as much as digits as its factorization.

1013225211521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 1013225211521 in words is "one trillion, thirteen billion, two hundred twenty-five million, two hundred eleven thousand, five hundred twenty-one".