45262137001 has 9 divisors (see below), whose sum is σ = 46401959653. Its totient is φ = 44149672480.

The previous prime is 45262136987. The next prime is 45262137007. The reversal of 45262137001 is 10073126254.

The square root of 45262137001 is 212749.

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

45262137001 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 2883797401 + 42378339600 = 53701^2 + 205860^2 .

It is not a de Polignac number, because 45262137001 - 2¹³ = 45262128809 is a prime.

It is a super-2 number, since 2×45262137001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45262137007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8720115 + ... + 8725303.

Almost surely, 2^45262137001 is an apocalyptic number.

45262137001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45262137001 is the 212749-th square number.

45262137001 is the 106375-th centered octagonal number.

It is an amenable number.

45262137001 is a deficient number, since it is larger than the sum of its proper divisors (1139822652).

45262137001 is an frugal number, since it uses more digits than its factorization.

45262137001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10460 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 45262137001 in words is "forty-five billion, two hundred sixty-two million, one hundred thirty-seven thousand, one".