1010506111251 has 80 divisors (see below), whose sum is σ = 1751087052960. Its totient is φ = 514633029120.

The previous prime is 1010506111231. The next prime is 1010506111253. The reversal of 1010506111251 is 1521116050101.

It is not a de Polignac number, because 1010506111251 - 2⁶ = 1010506111187 is a prime.

It is a super-2 number, since 2×1010506111251² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010506111253) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2529471 + ... + 2901591.

It is an arithmetic number, because the mean of its divisors is an integer number (21888588162).

Almost surely, 2^{1010506111251} is an apocalyptic number.

1010506111251 is a deficient number, since it is larger than the sum of its proper divisors (740580941709).

1010506111251 is an equidigital number, since it uses as much as digits as its factorization.

1010506111251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372194 (or 372173 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 24.

The spelling of 1010506111251 in words is "one trillion, ten billion, five hundred six million, one hundred eleven thousand, two hundred fifty-one".