50442914025 has 405 divisors, whose sum is σ = 117407624103. Its totient is φ = 21345508800.

The previous prime is 50442914017. The next prime is 50442914051. The reversal of 50442914025 is 52041924405.

It is a happy number.

The square root of 50442914025 is 224595.

It is a perfect power (a square), and thus also a powerful number.

50442914025 is a `hidden beast` number, since 50 + 442 + 9 + 140 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18159449049 + 32283464976 = 134757^2 + 179676^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 50442914025 - 2³ = 50442914017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1627190760 + ... + 1627190790.

Almost surely, 2^50442914025 is an apocalyptic number.

50442914025 is the 224595-th square number.

50442914025 is the 112298-th centered octagonal number.

It is an amenable number.

50442914025 is an abundant number, since it is smaller than the sum of its proper divisors (66964710078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50442914025 is a wasteful number, since it uses less digits than its factorization.

50442914025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 50442914025 by its sum of digits (36), we get a square (1815944904900 = 1347570²).

The spelling of 50442914025 in words is "fifty billion, four hundred forty-two million, nine hundred fourteen thousand, twenty-five".