1297181952 has 360 divisors, whose sum is σ = 4344988032. Its totient is φ = 384721920.

The previous prime is 1297181929. The next prime is 1297181953. The reversal of 1297181952 is 2591817921.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (90720) is a multiple of the sum of its prime divisors (63).

It is a junction number, because it is equal to n+sod(n) for n = 1297181898 and 1297181907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297181953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27599593 + ... + 27599639.

Almost surely, 2^1297181952 is an apocalyptic number.

1297181952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172494016).

1297181952 is an abundant number, since it is smaller than the sum of its proper divisors (3047806080).

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

1297181952 is an frugal number, since it uses more digits than its factorization.

1297181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 1297181952 is about 36016.4122588578. The cubic root of 1297181952 is about 1090.6036977878.

It can be divided in two parts, 12971819 and 52, that added together give a triangular number (12971871 = T₅₀₉₃).

The spelling of 1297181952 in words is "one billion, two hundred ninety-seven million, one hundred eighty-one thousand, nine hundred fifty-two".