2961997500567 has 96 divisors (see below), whose sum is σ = 4864443110400. Its totient is φ = 1594055054592.

The previous prime is 2961997500523. The next prime is 2961997500587. The reversal of 2961997500567 is 7650057991692.

It is not a de Polignac number, because 2961997500567 - 2²⁰ = 2961996451991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2961997500498 and 2961997500507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961997500587) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358200909 + ... + 358209177.

It is an arithmetic number, because the mean of its divisors is an integer number (50671282400).

Almost surely, 2^{2961997500567} is an apocalyptic number.

2961997500567 is a deficient number, since it is larger than the sum of its proper divisors (1902445609833).

2961997500567 is a wasteful number, since it uses less digits than its factorization.

2961997500567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 66.

The spelling of 2961997500567 in words is "two trillion, nine hundred sixty-one billion, nine hundred ninety-seven million, five hundred thousand, five hundred sixty-seven".