151001010 has 80 divisors (see below), whose sum is σ = 408096216. Its totient is φ = 40061952.

The previous prime is 151000981. The next prime is 151001017. The reversal of 151001010 is 10100151.

It can be written as a sum of positive squares in 4 ways, for example, as 83777409 + 67223601 = 9153^2 + 8199^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 151000983 and 151001001.

It is not an unprimeable number, because it can be changed into a prime (151001017) 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, 224034 + ... + 224706.

Almost surely, 2^151001010 is an apocalyptic number.

151001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204048108).

151001010 is an abundant number, since it is smaller than the sum of its proper divisors (257095206).

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

151001010 is a wasteful number, since it uses less digits than its factorization.

151001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 151001010 is about 12288.2468236930. The cubic root of 151001010 is about 532.5085894270.

Adding to 151001010 its reverse (10100151), we get a palindrome (161101161).

It can be divided in two parts, 15100 and 1010, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 151001010 in words is "one hundred fifty-one million, one thousand, ten".