1251591 has 32 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 675840.

The previous prime is 1251583. The next prime is 1251641. The reversal of 1251591 is 1951521.

It is not a de Polignac number, because 1251591 - 2³ = 1251583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12855 + ... + 12951.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2^1251591 is an apocalyptic number.

1251591 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1251591 is a deficient number, since it is larger than the sum of its proper divisors (780537).

1251591 is a wasteful number, since it uses less digits than its factorization.

1251591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its digits is 450, while the sum is 24.

The square root of 1251591 is about 1118.7452793196. The cubic root of 1251591 is about 107.7674178664.

The spelling of 1251591 in words is "one million, two hundred fifty-one thousand, five hundred ninety-one".