601971552 has 288 divisors, whose sum is σ = 2136895488. Its totient is φ = 156515328.

The previous prime is 601971523. The next prime is 601971569. The reversal of 601971552 is 255179106.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699313 + ... + 2699535.

It is an arithmetic number, because the mean of its divisors is an integer number (7419776).

Almost surely, 2^601971552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601971552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068447744).

601971552 is an abundant number, since it is smaller than the sum of its proper divisors (1534923936).

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

601971552 is a wasteful number, since it uses less digits than its factorization.

601971552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 601971552 is about 24535.1085589610. The cubic root of 601971552 is about 844.3554727027.

The spelling of 601971552 in words is "six hundred one million, nine hundred seventy-one thousand, five hundred fifty-two".