971505150 has 288 divisors, whose sum is σ = 3183867648. Its totient is φ = 190425600.

The previous prime is 971505089. The next prime is 971505179. The reversal of 971505150 is 51505179.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4169434 + ... + 4169666.

It is an arithmetic number, because the mean of its divisors is an integer number (11055096).

Almost surely, 2^971505150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971505150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591933824).

971505150 is an abundant number, since it is smaller than the sum of its proper divisors (2212362498).

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

971505150 is a wasteful number, since it uses less digits than its factorization.

971505150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 33.

The square root of 971505150 is about 31168.9773653227. The cubic root of 971505150 is about 990.4100433862.

The spelling of 971505150 in words is "nine hundred seventy-one million, five hundred five thousand, one hundred fifty".