1016667509251 has 16 divisors (see below), whose sum is σ = 1055965800960. Its totient is φ = 977655399840.

The previous prime is 1016667509233. The next prime is 1016667509269. The reversal of 1016667509251 is 1529057666101.

It is an interprime number because it is at equal distance from previous prime (1016667509233) and next prime (1016667509269).

It is a cyclic number.

It is not a de Polignac number, because 1016667509251 - 2²⁷ = 1016533291523 is a prime.

It is a super-2 number, since 2×1016667509251² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1016667509195 and 1016667509204.

It is not an unprimeable number, because it can be changed into a prime (1016667509281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17065446 + ... + 17124916.

It is an arithmetic number, because the mean of its divisors is an integer number (65997862560).

Almost surely, 2^{1016667509251} is an apocalyptic number.

1016667509251 is a deficient number, since it is larger than the sum of its proper divisors (39298291709).

1016667509251 is a wasteful number, since it uses less digits than its factorization.

1016667509251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61866.

The product of its (nonzero) digits is 680400, while the sum is 49.

The spelling of 1016667509251 in words is "one trillion, sixteen billion, six hundred sixty-seven million, five hundred nine thousand, two hundred fifty-one".