401525 has 6 divisors (see below), whose sum is σ = 497922. Its totient is φ = 321200.

The previous prime is 401519. The next prime is 401537. The reversal of 401525 is 525104.

It can be written as a sum of positive squares in 3 ways, for example, as 3364 + 398161 = 58^2 + 631^2 .

It is not a de Polignac number, because 401525 - 2¹² = 397429 is a prime.

It is a super-2 number, since 2×401525² = 322444651250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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, 8006 + ... + 8055.

It is an arithmetic number, because the mean of its divisors is an integer number (82987).

2⁴⁰¹⁵²⁵ is an apocalyptic number.

It is an amenable number.

401525 is a deficient number, since it is larger than the sum of its proper divisors (96397).

401525 is a wasteful number, since it uses less digits than its factorization.

401525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16066 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 401525 is about 633.6600034719. The cubic root of 401525 is about 73.7741470293.

Adding to 401525 its reverse (525104), we get a palindrome (926629).

The spelling of 401525 in words is "four hundred one thousand, five hundred twenty-five".