1953025 has 6 divisors (see below), whose sum is σ = 2421782. Its totient is φ = 1562400.

The previous prime is 1953013. The next prime is 1953041. The reversal of 1953025 is 5203591.

It can be written as a sum of positive squares in 3 ways, for example, as 146689 + 1806336 = 383^2 + 1344^2 .

It is not a de Polignac number, because 1953025 - 2¹⁵ = 1920257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 78121 = 1953025 / (1 + 9 + 5 + 3 + 0 + 2 + 5).

It is a Duffinian number.

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39036 + ... + 39085.

2^1953025 is an apocalyptic number.

It is an amenable number.

1953025 is a deficient number, since it is larger than the sum of its proper divisors (468757).

1953025 is an equidigital number, since it uses as much as digits as its factorization.

1953025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78131 (or 78126 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 1953025 is about 1397.5067083918. The cubic root of 1953025 is about 124.9978666303.

The spelling of 1953025 in words is "one million, nine hundred fifty-three thousand, twenty-five".