2487752262121 has 15 divisors (see below), whose sum is σ = 2902295114711. Its totient is φ = 2132292836856.

The previous prime is 2487752262119. The next prime is 2487752262167. The reversal of 2487752262121 is 1212622577842.

The square root of 2487752262121 is 1577261.

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., 755527762521 + 1732224499600 = 869211^2 + 1316140^2 .

It is not a de Polignac number, because 2487752262121 - 2¹ = 2487752262119 is a prime.

It is a super-2 number, since 2×2487752262121² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2487752260121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 77269695 + ... + 77301883.

Almost surely, 2^{2487752262121} is an apocalyptic number.

2487752262121 is the 1577261-st square number.

2487752262121 is the 788631-st centered octagonal number.

It is an amenable number.

2487752262121 is a deficient number, since it is larger than the sum of its proper divisors (414542852590).

2487752262121 is an frugal number, since it uses more digits than its factorization.

2487752262121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64406 (or 32196 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 49.

Multiplying 2487752262121 by its sum of digits (49), we get a square (121899860843929 = 11040827²).

2487752262121 divided by its sum of digits (49) gives a square (50770454329 = 225323²).

The spelling of 2487752262121 in words is "two trillion, four hundred eighty-seven billion, seven hundred fifty-two million, two hundred sixty-two thousand, one hundred twenty-one".