2971873125 has 320 divisors, whose sum is σ = 6717849600. Its totient is φ = 1283040000.

The previous prime is 2971873123. The next prime is 2971873127. The reversal of 2971873125 is 5213781792.

2971873125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2971873123) and next prime (2971873127).

It is not a de Polignac number, because 2971873125 - 2¹ = 2971873123 is a prime.

It is a super-3 number, since 3×2971873125³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971873123) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 95866860 + ... + 95866890.

It is an arithmetic number, because the mean of its divisors is an integer number (20993280).

Almost surely, 2^2971873125 is an apocalyptic number.

2971873125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2971873125 is an abundant number, since it is smaller than the sum of its proper divisors (3745976475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2971873125 is a wasteful number, since it uses less digits than its factorization.

2971873125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 2971873125 is about 54514.8890212573. The cubic root of 2971873125 is about 1437.7280797520.

It can be divided in two parts, 2971 and 873125, that added together give a square (876096 = 936²).

The spelling of 2971873125 in words is "two billion, nine hundred seventy-one million, eight hundred seventy-three thousand, one hundred twenty-five".