1525953 has 16 divisors (see below), whose sum is σ = 2390976. Its totient is φ = 853440.

The previous prime is 1525933. The next prime is 1525957. The reversal of 1525953 is 3595251.

It is not a de Polignac number, because 1525953 - 2⁵ = 1525921 is a prime.

1525953 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1525953.

It is not an unprimeable number, because it can be changed into a prime (1525957) 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, 1350 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (149436).

2^1525953 is an apocalyptic number.

1525953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1525953 is a deficient number, since it is larger than the sum of its proper divisors (865023).

1525953 is a wasteful number, since it uses less digits than its factorization.

1525953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584.

The product of its digits is 6750, while the sum is 30.

The square root of 1525953 is about 1235.2947016805. The cubic root of 1525953 is about 115.1278477346.

It can be divided in two parts, 152 and 5953, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 1525953 in words is "one million, five hundred twenty-five thousand, nine hundred fifty-three".