42077073825 has 18 divisors (see below), whose sum is σ = 75364714854. Its totient is φ = 22441105920.

The previous prime is 42077073823. The next prime is 42077073833. The reversal of 42077073825 is 52837077024.

It can be written as a sum of positive squares in 3 ways, for example, as 6883689024 + 35193384801 = 82968^2 + 187599^2 .

It is not a de Polignac number, because 42077073825 - 2¹ = 42077073823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42077073821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93504384 + ... + 93504833.

It is an arithmetic number, because the mean of its divisors is an integer number (4186928603).

Almost surely, 2^42077073825 is an apocalyptic number.

42077073825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42077073825 is a deficient number, since it is larger than the sum of its proper divisors (33287641029).

42077073825 is a wasteful number, since it uses less digits than its factorization.

42077073825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187009233 (or 187009225 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 42077073825 in words is "forty-two billion, seventy-seven million, seventy-three thousand, eight hundred twenty-five".