115526401 has 16 divisors (see below), whose sum is σ = 125308800. Its totient is φ = 106178688.

The previous prime is 115526399. The next prime is 115526417. The reversal of 115526401 is 104625511.

115526401 = T₃₁₅₈ + T₃₁₅₉ + ... + T₃₁₈₀.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 115526401 - 2¹ = 115526399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115526461) 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, 252565 + ... + 253021.

It is an arithmetic number, because the mean of its divisors is an integer number (7831800).

Almost surely, 2^115526401 is an apocalyptic number.

It is an amenable number.

115526401 is a deficient number, since it is larger than the sum of its proper divisors (9782399).

115526401 is a wasteful number, since it uses less digits than its factorization.

115526401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 115526401 is about 10748.3208456019. The cubic root of 115526401 is about 487.0352718699.

It can be divided in two parts, 1155 and 26401, that added together give a square (27556 = 166²).

The spelling of 115526401 in words is "one hundred fifteen million, five hundred twenty-six thousand, four hundred one".