2512971 has 16 divisors (see below), whose sum is σ = 3752320. Its totient is φ = 1662120.

The previous prime is 2512967. The next prime is 2512999. The reversal of 2512971 is 1792152.

It is not a de Polignac number, because 2512971 - 2² = 2512967 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2512171) 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, 4116 + ... + 4686.

It is an arithmetic number, because the mean of its divisors is an integer number (234520).

2^2512971 is an apocalyptic number.

2512971 is a deficient number, since it is larger than the sum of its proper divisors (1239349).

2512971 is a wasteful number, since it uses less digits than its factorization.

2512971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2512971 is about 1585.2353137626. The cubic root of 2512971 is about 135.9552007866.

It can be divided in two parts, 25129 and 71, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 2512971 in words is "two million, five hundred twelve thousand, nine hundred seventy-one".