2477145471025 has 9 divisors (see below), whose sum is σ = 3071670142251. Its totient is φ = 1981710081240.

The previous prime is 2477145471013. The next prime is 2477145471049. The reversal of 2477145471025 is 5201745417742.

The square root of 2477145471025 is 1573895.

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

It can be written as a sum of positive squares in only one way, i.e., 891772369569 + 1585373101456 = 944337^2 + 1259116^2 .

It is not a de Polignac number, because 2477145471025 - 2¹¹ = 2477145468977 is a prime.

It is a super-2 number, since 2×2477145471025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2477145471025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7712086 + ... + 8026864.

Almost surely, 2^{2477145471025} is an apocalyptic number.

2477145471025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2477145471025 is the 1573895-th square number.

2477145471025 is the 786948-th centered octagonal number.

It is an amenable number.

2477145471025 is a deficient number, since it is larger than the sum of its proper divisors (594524671226).

2477145471025 is an frugal number, since it uses more digits than its factorization.

2477145471025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629568 (or 314784 counting only the distinct ones).

The product of its (nonzero) digits is 2195200, while the sum is 49.

Multiplying 2477145471025 by its sum of digits (49), we get a square (121380128080225 = 11017265²).

The spelling of 2477145471025 in words is "two trillion, four hundred seventy-seven billion, one hundred forty-five million, four hundred seventy-one thousand, twenty-five".