42495761025 has 81 divisors (see below), whose sum is σ = 79193685961. Its totient is φ = 22619878560.

The previous prime is 42495760933. The next prime is 42495761047. The reversal of 42495761025 is 52016759424.

The square root of 42495761025 is 206145.

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

42495761025 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 5 + 7 + 610 + 25 = 666.

42495761025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1620626049 + 40875134976 = 40257^2 + 202176^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 42495761025 - 2⁹ = 42495760513 is a prime.

It is a super-3 number, since 3×42495761025³ (a number of 33 digits) contains 333 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 83488471 + ... + 83488979.

Almost surely, 2^42495761025 is an apocalyptic number.

42495761025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42495761025 is the 206145-th square number.

42495761025 is the 103073-rd centered octagonal number.

It is an amenable number.

42495761025 is a deficient number, since it is larger than the sum of its proper divisors (36697924936).

42495761025 is an frugal number, since it uses more digits than its factorization.

42495761025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 42495761025 in words is "forty-two billion, four hundred ninety-five million, seven hundred sixty-one thousand, twenty-five".