1257525 has 48 divisors (see below), whose sum is σ = 2440320. Its totient is φ = 641520.

The previous prime is 1257521. The next prime is 1257547. The reversal of 1257525 is 5257521.

It is a happy number.

It is not a de Polignac number, because 1257525 - 2² = 1257521 is a prime.

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

1257525 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54664 + ... + 54686.

It is an arithmetic number, because the mean of its divisors is an integer number (50840).

2^1257525 is an apocalyptic number.

1257525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1257525 is a deficient number, since it is larger than the sum of its proper divisors (1182795).

1257525 is an frugal number, since it uses more digits than its factorization.

1257525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 1257525 is about 1121.3942214939. The cubic root of 1257525 is about 107.9374637961.

The spelling of 1257525 in words is "one million, two hundred fifty-seven thousand, five hundred twenty-five".